Finding the Third Proportional to 29,971 and 64,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,971 : 64,614.50 = 64,614.50 : x
2. Step 2: Convert to fraction form
   29,971/64,614.50 = 64,614.50/x
3. Step 3: Cross multiply
   29,971x = 64,614.50 × 64,614.50
4. Step 4: Simplify right side
   29,971x = 4,175,033,610.25
5. Step 5: Solve for x
   x = 4,175,033,610.25/29,971
6. Step 6: Final answer
   x = 139,302.45